13782913 has 2 divisors, whose sum is σ = 13782914. Its totient is φ = 13782912.

The previous prime is 13782883. The next prime is 13782943. The reversal of 13782913 is 31928731.

It is a balanced prime because it is at equal distance from previous prime (13782883) and next prime (13782943).

It can be written as a sum of positive squares in only one way, i.e., 13778944 + 3969 = 3712^2 + 63^2 .

It is a cyclic number.

It is not a de Polignac number, because 13782913 - 2²¹ = 11685761 is a prime.

It is not a weakly prime, because it can be changed into another prime (13782943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6891456 + 6891457.

It is an arithmetic number, because the mean of its divisors is an integer number (6891457).

Almost surely, 2^13782913 is an apocalyptic number.

It is an amenable number.

13782913 is a deficient number, since it is larger than the sum of its proper divisors (1).

13782913 is an equidigital number, since it uses as much as digits as its factorization.

13782913 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 34.

The square root of 13782913 is about 3712.5345789635. The cubic root of 13782913 is about 239.7619920549.

The spelling of 13782913 in words is "thirteen million, seven hundred eighty-two thousand, nine hundred thirteen".